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TRS Stand 20472 pair #381712357
details
property
value
status
complete
benchmark
otto05.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n039.star.cs.uiowa.edu
space
AProVE_07
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
1.25613594055 seconds
cpu usage
3.647732005
max memory
6.0264448E8
stage attributes
key
value
output-size
7426
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem: lt(0(),s(x)) -> true() lt(x,0()) -> false() lt(s(x),s(y)) -> lt(x,y) logarithm(x) -> ifa(lt(0(),x),x) ifa(true(),x) -> help(x,1()) ifa(false(),x) -> logZeroError() help(x,y) -> ifb(lt(y,x),x,y) ifb(true(),x,y) -> help(half(x),s(y)) ifb(false(),x,y) -> y half(0()) -> 0() half(s(0())) -> 0() half(s(s(x))) -> s(half(x)) Proof: DP Processor: DPs: lt#(s(x),s(y)) -> lt#(x,y) logarithm#(x) -> lt#(0(),x) logarithm#(x) -> ifa#(lt(0(),x),x) ifa#(true(),x) -> help#(x,1()) help#(x,y) -> lt#(y,x) help#(x,y) -> ifb#(lt(y,x),x,y) ifb#(true(),x,y) -> half#(x) ifb#(true(),x,y) -> help#(half(x),s(y)) half#(s(s(x))) -> half#(x) TRS: lt(0(),s(x)) -> true() lt(x,0()) -> false() lt(s(x),s(y)) -> lt(x,y) logarithm(x) -> ifa(lt(0(),x),x) ifa(true(),x) -> help(x,1()) ifa(false(),x) -> logZeroError() help(x,y) -> ifb(lt(y,x),x,y) ifb(true(),x,y) -> help(half(x),s(y)) ifb(false(),x,y) -> y half(0()) -> 0() half(s(0())) -> 0() half(s(s(x))) -> s(half(x)) TDG Processor: DPs: lt#(s(x),s(y)) -> lt#(x,y) logarithm#(x) -> lt#(0(),x) logarithm#(x) -> ifa#(lt(0(),x),x) ifa#(true(),x) -> help#(x,1()) help#(x,y) -> lt#(y,x) help#(x,y) -> ifb#(lt(y,x),x,y) ifb#(true(),x,y) -> half#(x) ifb#(true(),x,y) -> help#(half(x),s(y)) half#(s(s(x))) -> half#(x) TRS: lt(0(),s(x)) -> true() lt(x,0()) -> false() lt(s(x),s(y)) -> lt(x,y) logarithm(x) -> ifa(lt(0(),x),x) ifa(true(),x) -> help(x,1()) ifa(false(),x) -> logZeroError() help(x,y) -> ifb(lt(y,x),x,y) ifb(true(),x,y) -> help(half(x),s(y)) ifb(false(),x,y) -> y half(0()) -> 0() half(s(0())) -> 0() half(s(s(x))) -> s(half(x)) graph: half#(s(s(x))) -> half#(x) -> half#(s(s(x))) -> half#(x) ifb#(true(),x,y) -> half#(x) -> half#(s(s(x))) -> half#(x) ifb#(true(),x,y) -> help#(half(x),s(y)) -> help#(x,y) -> ifb#(lt(y,x),x,y) ifb#(true(),x,y) -> help#(half(x),s(y)) -> help#(x,y) -> lt#(y,x) help#(x,y) -> ifb#(lt(y,x),x,y) -> ifb#(true(),x,y) -> help#(half(x),s(y)) help#(x,y) -> ifb#(lt(y,x),x,y) -> ifb#(true(),x,y) -> half#(x) help#(x,y) -> lt#(y,x) -> lt#(s(x),s(y)) -> lt#(x,y) ifa#(true(),x) -> help#(x,1()) -> help#(x,y) -> ifb#(lt(y,x),x,y) ifa#(true(),x) -> help#(x,1()) -> help#(x,y) -> lt#(y,x) logarithm#(x) -> ifa#(lt(0(),x),x) -> ifa#(true(),x) -> help#(x,1()) logarithm#(x) -> lt#(0(),x) -> lt#(s(x),s(y)) -> lt#(x,y) lt#(s(x),s(y)) -> lt#(x,y) -> lt#(s(x),s(y)) -> lt#(x,y) SCC Processor: #sccs: 3 #rules: 4 #arcs: 12/81 DPs: ifb#(true(),x,y) -> help#(half(x),s(y)) help#(x,y) -> ifb#(lt(y,x),x,y) TRS: lt(0(),s(x)) -> true() lt(x,0()) -> false() lt(s(x),s(y)) -> lt(x,y) logarithm(x) -> ifa(lt(0(),x),x)
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